Finding the Third Proportional to 2,147.50 and 4,661

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.50 : 4,661 = 4,661 : x
2. Step 2: Convert to fraction form
   2,147.50/4,661 = 4,661/x
3. Step 3: Cross multiply
   2,147.50x = 4,661 × 4,661
4. Step 4: Simplify right side
   2,147.50x = 21,724,921
5. Step 5: Solve for x
   x = 21,724,921/2,147.50
6. Step 6: Final answer
   x = 10,116.38